If the kinetic energy of an object is quadrupled. its momentum will change by what factor of 2
The linear momentum (p) of an object is given by:
p = mv
m is the mass and v is the velocity
Hence: m = p/v
The kinetic energy of a body is:
K.E = (1/2)mv²
K.E = p²/2m
p = √2*m*K.E
If the Kinetic energy is quadrupled, the momentum (p') would be:
p' = √2*m*4K.E
p' = 2*√2*m*K.E = 2 * p
p' = 2 * p
Therefore if the kinetic energy of an object is quadrupled. its momentum will change by what factor of 2
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